%0 Journal Article
%T Rees cones and monomial rings of matroids
%A Rafael H. Villarreal
%J Mathematics
%D 2006
%I arXiv
%X Using linear algebra methods we study certain algebraic properties of monomial rings and matroids. Let I be a monomial ideal in a polynomial ring over an arbitrary field. If the Rees cone of I is quasi-ideal, we express the normalization of the Rees algebra of I in terms of an Ehrhart ring. We introduce the basis Rees cone of a matroid (or a polymatroid) and study their facets. Some applications to Rees algebras are presented. It is shown that the basis monomial ideal of a matroid (or a polymatroid) is normal.
%U http://arxiv.org/abs/math/0601520v3